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Finding the Third Proportional to 78,009.75 and 117,564.75

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Solution

The third proportional to 78,009.75 and 117,564.75 is: 177,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,009.75 : 117,564.75 = 117,564.75 : x
  2. Step 2: Convert to fraction form
    78,009.75/117,564.75 = 117,564.75/x
  3. Step 3: Cross multiply
    78,009.75x = 117,564.75 × 117,564.75
  4. Step 4: Simplify right side
    78,009.75x = 13,821,470,442.56
  5. Step 5: Solve for x
    x = 13,821,470,442.56/78,009.75
  6. Step 6: Final answer
    x = 177,176.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.